Greatest Common Factor of 53/22, 10/65, 84/79, 51/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 53/22, 10/65, 84/79, 51/634

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 53/22,10/65,84/79,51/634

Given fractions are 53/22,10/65,84/79,51/634

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 53,10,84,51

Greatest Common Factor of Numerators i.e. GCF of 53,10,84,51 is 1 .

LCM of Denominators means LCM of 22,65,79,634 as per the given fractions.

LCM of 22,65,79,634 is 35811490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 53,10,84,51

GCF of Fractions 53/22,10/65,84/79,51/634 is 1/35811490

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 53,10,84,51 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,10,84,51 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Greatest Common Factor

We found the factors 53,10,84,51 . The biggest common factor number is the GCF number.
So the greatest common factor 53,10,84,51 is 1.

Lets's calculate LCM of 22,65,79,634

2 22, 65, 79, 634
11, 65, 79, 317

∴ So the LCM of the given numbers is 2 x 11 x 65 x 79 x 317 = 35811490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35811490

Therefore, the GCF of Fractions 53/22,10/65,84/79,51/634 is 1/35811490

Least Common Multiple of 22,65,79,634 with GCF Formula

Least Common Multiple of 22,65,79,634 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 22,65,79,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,65,79,634) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(22,65,79,634) x common factors =1 x 2 = 2

LCM(22,65,79,634) = ( 22 × 65 × 79 × 634 ) / 2

LCM(22,65,79,634) = 71622980 / 2

LCM(22,65,79,634) = 35811490


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 53/22, 10/65, 84/79, 51/634

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 53/22, 10/65, 84/79, 51/634?

Answer: GCF of Numerators as per given numbers 53/22, 10/65, 84/79, 51/634 is

GCF of Numerators i.e. for 53,10,84,51 is 1

LCM of denominators i.e. for 22,65,79,634 is 35811490.

Thus, GCF of Fractions is 1/35811490.Finally, GCF of Fractions for 53/22, 10/65, 84/79, 51/634 is 1/35811490.